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Finding the Fourth Proportional to 187,818.16, 281,737.52 and 47,578

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Solution

The fourth proportional to 187,818.16, 281,737.52 and 47,578 is: 71,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,818.16 : 281,737.52 = 47,578 : x
  2. Step 2: Convert to fraction form
    187,818.16/281,737.52 = 47,578/x
  3. Step 3: Cross multiply
    187,818.16x = 281,737.52 × 47,578
  4. Step 4: Simplify right side
    187,818.16x = 13,404,507,726.56
  5. Step 5: Solve for x
    x = 13,404,507,726.56/187,818.16
  6. Step 6: Final answer
    x = 71,369.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.